Theorems · Theorem · commutative algebra
WittVector.ghostComponent_verschiebung
∀ {p : ℕ} {R : Type u_1} [inst : CommRing R] [hp : Fact (Nat.Prime p)] (x : WittVector p R) (n : ℕ),
(WittVector.ghostComponent (n + 1)) (WittVector.verschiebung x) = ↑p * (WittVector.ghostComponent n) x- Cited by
- 3 results in Mathlib
- Foundations
- Depth 142 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- RingHomstatement · cited by 10,189
- AddMonoidHomstatement · cited by 3,230
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- WittVectorstatement and proof · cited by 227
- WittVector.verschiebungstatement · cited by 32
- WittVector.ghostComponentstatement · cited by 20
- WittVector.ghostComponent_verschiebungFunproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- WittVector.frobenius_verschiebungproof · cited by 7
- WittVector.verschiebung_mul_frobeniusproof · cited by 1
- WittVector.bind₁_verschiebungPoly_wittPolynomialproof · cited by 0